1. Find each of the following. Write each complex number in the form x+ iy. (a) Write (-2 – i) in polar form (approximate the angle to 4 decimal places). (b) e*+(#"/s) = exp (1+i(:)) = 2. Prove the following. (a) 2e-cos(iz) –1=e2= (b)(sin(z)) = cos(2)
1. Find each of the following. Write each complex number in the form x+ iy. (a) Write (-2 – i) in polar form (approximate the angle to 4 decimal places). (b) e*+(#"/s) = exp (1+i(:)) = 2. Prove the following. (a) 2e-cos(iz) –1=e2= (b)(sin(z)) = cos(2)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:1. Find each of the following. Write each complex number in the form x+ iy.
(a) Write (-2 – i) in polar form (approximate the angle to 4 decimal
places).
(b) e1+(i#/s)
»(1+ +()) =
= exp
2. Prove the following.
(a) 2e*cos(iz) –1 = e2=
(b)÷(sin(z)) = cos(z)
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